Finding the Third Proportional to 22,458 and 34,374

Step by Step Solution

1. Step 1: Write the proportion equation
   22,458 : 34,374 = 34,374 : x
2. Step 2: Convert to fraction form
   22,458/34,374 = 34,374/x
3. Step 3: Cross multiply
   22,458x = 34,374 × 34,374
4. Step 4: Simplify right side
   22,458x = 1,181,571,876
5. Step 5: Solve for x
   x = 1,181,571,876/22,458
6. Step 6: Final answer
   x = 52,612.52